75% Tue Jan 31 11:09 PM Fahd Fahd a E Chrome File Edit View History Bookmarks Pe

Question

75% Tue Jan 31 11:09 PM Fahd Fahd a E Chrome File Edit View History Bookmarks People Window Help M Inbox x solve x Assig x D ex dv x D Testc x D simul x Goog x C searc x c solve x CA Col x C solve x c solve x W sec x Fahd C www.webassign.net/ dep 15385753 web/Student/Assignment-Responses/submit? Three components are connected to form a system as shown in the accompanying diagram. Because the components in the 2-3 subsystem are conne subsystem will function if at least one of the two individual components functions. For the entire system to function, component 1 must function and so mus 2-3 CUO subsystem a The experiment consists of determining the condition of each component IS (success) for a functioning component and F (failure) for a nonfunctioning component]. Enter your answers in set notation. Enter EMPTY or for the empty set.) (a) Which outcomes are contained in the event A that exactly two of the three components function? SSF, SFS, FSS (b) Which outcomes are contained in the event B that at least two of the components function? B HSSF, SFS, FSS,SSS (c) Which outcomes are contained in the event C that the system functions? {SSF, SFS,FSS, SSS (d) List outcomes in C. List outcomes in AU C. UC

Explanation / Answer

C)system will function when component 1 will work and at least one component out of 2 and 3 will work

here C={SSS ,SFS , SSF}

d) C' ={SFF, FSS, FSF, FFS, FFF}

e) AUC ={FSS ,SSS ,SFS , SSF}

f)AnC ={ SFS , SSF}

g)BUC ={FSS ,SSS ,SFS , SSF,FSS}

h)BnC ={SSS ,SFS , SSF}

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